20110117137937 has 2 divisors, whose sum is σ = 20110117137938. Its totient is φ = 20110117137936.

The previous prime is 20110117137883. The next prime is 20110117137947. The reversal of 20110117137937 is 73973171101102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15736962056256 + 4373155081681 = 3966984^2 + 2091209^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-20110117137937 is a prime.

It is a super-2 number, since 2×20110117137937² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20110117137893 and 20110117137902.

It is not a weakly prime, because it can be changed into another prime (20110117137947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10055058568968 + 10055058568969.

It is an arithmetic number, because the mean of its divisors is an integer number (10055058568969).

Almost surely, 2^{20110117137937} is an apocalyptic number.

It is an amenable number.

20110117137937 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110117137937 is an equidigital number, since it uses as much as digits as its factorization.

20110117137937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55566, while the sum is 43.

The spelling of 20110117137937 in words is "twenty trillion, one hundred ten billion, one hundred seventeen million, one hundred thirty-seven thousand, nine hundred thirty-seven".